3640074794460 has 384 divisors, whose sum is σ = 12510191473920. Its totient is φ = 872980070400.

The previous prime is 3640074794357. The next prime is 3640074794549. The reversal of 3640074794460 is 644974700463.

3640074794460 is a `hidden beast` number, since 3 + 6 + 40 + 0 + 74 + 79 + 4 + 460 = 666.

It is a super-2 number, since 2×3640074794460² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3640074794397 and 3640074794406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222476680 + ... + 222493040.

It is an arithmetic number, because the mean of its divisors is an integer number (32578623630).

Almost surely, 2^{3640074794460} is an apocalyptic number.

3640074794460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640074794460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255095736960).

3640074794460 is an abundant number, since it is smaller than the sum of its proper divisors (8870116679460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3640074794460 is a wasteful number, since it uses less digits than its factorization.

3640074794460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17206 (or 17198 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 3640074794460 in words is "three trillion, six hundred forty billion, seventy-four million, seven hundred ninety-four thousand, four hundred sixty".